Determination of the pole position of the lightest hybrid meson candidate

Mapping states with explicit gluonic degrees of freedom in the light sector is a challenge, and has led to controversies in the past. In particular, the experiments have reported two different hybrid candidates with spin-exotic signature, π1(1400) and π1(1600), which couple separately to ηπ and η′π. This picture is not compatible with recent Lattice QCD estimates for hybrid states, nor with most phenomenological models. We consider the recent partial wave analysis of the η(′)π system by the COMPASS Collaboration. We fit the extracted intensities and phases with a coupled-channel amplitude that enforces the unitarity and analyticity of the S matrix. We provide a robust extraction of a single exotic π1 resonant pole, with mass and width 1564±24±86 and 492±54±102 MeV, which couples to both η(′)π channels. We find no evidence for a second exotic state. We also provide the resonance parameters of the a2(1320) and a2′(1700).

Note:

6 pages + 3 pages of supplemental material. Version to appear on Phys.Rev.Lett

Elementary Particles and Fields
resonance: pole
meson: hybrid
S-matrix: analytic properties
partial wave analysis
quantum chromodynamics
lattice field theory
coupled channel
pi1(1600)
unitarity

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